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Finding the Fourth Proportional to 287,177.54, 430,830.54 and 87,513.55

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Solution

The fourth proportional to 287,177.54, 430,830.54 and 87,513.55 is: 131,289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,177.54 : 430,830.54 = 87,513.55 : x
  2. Step 2: Convert to fraction form
    287,177.54/430,830.54 = 87,513.55/x
  3. Step 3: Cross multiply
    287,177.54x = 430,830.54 × 87,513.55
  4. Step 4: Simplify right side
    287,177.54x = 37,703,508,926.74
  5. Step 5: Solve for x
    x = 37,703,508,926.74/287,177.54
  6. Step 6: Final answer
    x = 131,289.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.